On the verification of Clark's example of a Euclidean but not norm- Euclidean number field
type: Item
instance of: scholarly article
title: On the verification of Clark's example of a Euclidean but not norm- Euclidean number field
zbMATH Open document ID: 0827.11060
DOI: 10.1007/BF02567625
author: Gerhard Niklasch
published in: Manuscripta Mathematica
publication date: 1995-12-11T00:00:00Z
full work available at URL: https://eudml.org/doc/155972
review text: The author gives an alternative proof of a result of \textit{D. A. Clark} [Manuscr. Math. 83, No. 3-4, 327-330 (1994; Zbl 0817.11047)] that the maximal order of \(\mathbb{Q} (\sqrt {69})\) is a Euclidean but not norm- Euclidean ring.
Mathematics Subject Classification ID: 11R04
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11Y40
zbMATH DE Number: 624947
zbMATH Keywords: Euclidean algorithm
zbMATH Keywords: maximal order
zbMATH Keywords: norm-Euclidean ring
reviewed by: Michael E. Pohst
MaRDI profile type: Publication
cites work: L'anneau \({\mathbb{Z}}[\sqrt{14}]\) et l'algorithme euclidien. (The ring \({\mathbb{Z}}[\sqrt{14}]\) and the Euclidean algorithm)
cites work: A quadratic field which is Euclidean but not norm-Euclidean
cites work: How reliable is a computer-based proof?
OpenAlex ID: W2076521728
description: scientific article; zbMATH DE number 624947